lemniscate of Bernoulli


lemniscate of Bernoulli

[lem′nis·kət əv ber′nü·ē] (mathematics) The locus of points (x,y) in the plane satisfying the equation (x 2+ y 2)2= a 2(x 2-y 2) or, in polar coordinates (r,θ), the equation r 2= a 2 cos 2θ.